Question

what is the slope of the function if X is 2and 5 and Y is 3and 8

Answer 1

For this case we need to remember the definition of a line given by this formula:

$y=mx+b$

And we have the following points given: (2,3) and (5,8)

And we can find the slope with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-3}{5-2}=\frac{5}{3}$

And using one point we got:

$3=\frac{5}{3}(2)+b$

And solving for b we got:

$b=3-\frac{10}{3}=-\frac{1}{3}$

And our equation would be:

$y=\frac{5}{3}x-\frac{1}{3}$